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A sphere and a cube have equal surface areas. Show that the ratio of the volume of the sphere to that of the cube is √6 : √π. Ans: S.A. of sphere = S.A of cube 4π r 2
Interpolation is a method of statistical estimation and the word literally means 'making insertions'. Let us consider a well-known situation whi
John was doing his homework on vertical addition, and had to compute : 5 3+ 3 4 and 6 8 +45 He did the first one easily, just the way his teacher had taught him. He first ad
Show that of all right triangles inscribed in a circle, the triangle with maximum perimeter is isosceles.
Write each of the given radicals in exponent form. Solution As illustrated in the last two parts of this example we have to be careful with parenthesis. While we
Position Vector There is one presentation of a vector that is unique in some way. The presentation of the ¯v = (a 1 ,a 2 ,a 3 ) that begins at the point A = (0,0,0) and ends
robin runs 5 kilometers around the campus in the same length of time as he can walk 3 kilometers from his house to school. If he runs 4 kilometers per hour faster than he walks, ho
I am expert in mathematics. How i open my expert account?
Mathematical Statements Are Unambiguous : Consider any mathematical concept that you're familiar with, say, a sphere. The definition of a sphere is clear and precise. Given any o
y=f(a^x) and f(sinx)=lnx find dy/dx Solution) dy/dx = (a^x)(lnx)f''(a^x), .........(1) but f(sinx) = lnx implies f(x) = ln(arcsinx) hence f''(x) = (1/arcsinx) (1/ ( ( 1-x
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